Steven Kleiman
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American mathematician
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Steven Kleimanmathematics Degrees
Mathematics
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#1927
Historical Rank
#489
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Measure Theory
#1689
World Rank
#2076
Historical Rank
#548
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Mathematics
Why Is Steven Kleiman Influential?
(Suggest an Edit or Addition)According to Wikipedia, Steven Lawrence Kleiman is an American mathematician. Professional career Kleiman is a professor emeritus of mathematics at the Massachusetts Institute of Technology. Born in Boston, he did his undergraduate studies at MIT. He received his Ph.D. from Harvard University in 1965, after studying there with Oscar Zariski and David Mumford, and joined the MIT faculty in 1969. Kleiman held the prestigious NATO Postdoctoral Fellowship , Sloan Fellowship , and Guggenheim Fellowship .
Steven Kleiman's Published Works
Published Works
- Design and implementation of the Sun network filesystem (1985) (793)
- The transversality of a general translate (1974) (548)
- Toward a numerical theory of ampleness (1966) (514)
- Introduction to Grothendieck Duality Theory (1970) (469)
- Compactifying the Picard scheme (1980) (360)
- Algebraic cycles and the Weil conjectures (1968) (315)
- Design and Implementation of the Sun Network Filesystem (1985) (276)
- The Picard Scheme (2005) (178)
- The Enumerative Theory of Singularities (1977) (171)
- Foundations of the theory of Fano schemes (1977) (163)
- Geometry on grassmannians and applications to splitting bundles and smoothing cycles (1969) (146)
- On the Existence of Special Divisors (1972) (124)
- Bertini theorems for hypersurface sections containing a subscheme (1979) (118)
- A Geometric Theory of the Buchsbaum-Rim Multiplicity (1994) (101)
- Multiple-point formulas I: Iteration (1981) (101)
- Grothendieck’s existence theorem in formal geometry (2006) (94)
- Relative duality for quasi-coherent sheaves (1980) (93)
- Another proof of the existence of special divisors (1974) (75)
- Basics on families of hyperelliptic curves (1979) (73)
- Enumerating singular curves on surfaces (1999) (73)
- Bertini and his two fundamental theorems (1997) (71)
- Problem 15: Rigorous foundation of Schubert''s enumerative calculus (1976) (67)
- Reducibility of the compactified jacobian (1981) (66)
- Rational curves of degree at most 9 on a general quintic threefold (1995) (58)
- Specialization of integral dependence for modules (1996) (58)
- A term of Commutative Algebra (2013) (56)
- Compactifying the Picard Scheme II (1979) (55)
- Geometry and deformation of special Schubert varieties (1971) (55)
- The canonical model of a singular curve (2008) (45)
- Autoduality of the Compactified Jacobian (1999) (43)
- Multiple-point formulas II: The Hilbert scheme (1990) (43)
- Ample vector bundles on algebraic surfaces (1969) (40)
- Node polynomials for families: methods and applications (2004) (37)
- Bounds on leaves of one-dimensional foliations (2002) (37)
- On the purity of the branch locus (1971) (36)
- Bounding Solutions of Pfaff Equations (2003) (34)
- On the inseparability of the Gauss map (1990) (32)
- About the conormal scheme (1984) (31)
- r-special subschemes and an argument of Severi's (1976) (31)
- Compactifying the Jacobian (1976) (30)
- The Development of Intersection Homology Theory (2007) (26)
- On the Vanishing of H n (X, F for an n-Dimensional Variety (1967) (26)
- Abel maps and presentation schemes (1999) (25)
- Complete bilinear forms (1988) (22)
- The compactified Picard scheme of the compactified Jacobian (2004) (22)
- Conormal Geometry of Maximal Minors (1997) (21)
- About the enumeration of contacts (1983) (21)
- The presentation functor and the compactified Jacobian (2007) (21)
- GORENSTEIN ALGEBRAS, SYMMETRIC MATRICES, SELF-LINKED IDEALS, AND SYMBOLIC POWERS (1995) (21)
- The multiple-point schemes of a finite curvilinear map of codimension one (1994) (21)
- Some intrinsic and extrinsic characterizations of the projective space (1985) (18)
- What is Abel’s Theorem Anyway? (2004) (18)
- Toward Clemens' Conjecture in degrees between 10 and 24 (1996) (18)
- Multiple Point Formulas for Maps (1982) (16)
- Enumerative geometry of nodal plane cubics (1988) (14)
- On the Göttsche Threshold (2012) (14)
- Complex Projective Geometry: The source double-point cycle of a finite map of codimension one (1992) (13)
- Plane forms and multiple-point formulas (1982) (13)
- A Note on the Nakai-Moisezon Test for Ampleness of a Divisor (1965) (13)
- Sketch of a verification of Schubert's number 5819539783680 of twisted cubics (1981) (13)
- Grothendieck's FGA Explained (2013) (12)
- Gherardelli linkage and complete intersections. (2000) (11)
- Node polynomials for families: results and examples (2001) (10)
- Joins of schemes, linear projections (1975) (8)
- On the vanishing of ⁿ(,ℱ) for an -dimensional variety (1967) (8)
- Bounds on leaves of foliations of the plane (2003) (7)
- Enumerative algebraic geometry : proceedings of the 1989 Zeuthen Symposium (1991) (7)
- Enriques diagrams, arbitrarily near points, and Hilbert schemes (2009) (6)
- Equisingularity, Multiplicity, and Dependence (1998) (6)
- On the G\"ottsche Threshold (2012) (6)
- A note on the base change map for cohomology (1973) (6)
- Two formulas for the BR multiplicity (2015) (5)
- Algebraic systems of linearly equivalent divisor-like subschemes (1974) (5)
- Hilbert schemes of points (2006) (3)
- Motives, Part 1 (1994) (3)
- Correction to “On the purity of the branch locus” (1973) (3)
- Elementary deformation theory (2006) (3)
- Studies in algebraic geometry (1980) (3)
- Motives, Part 2 (1994) (3)
- Completeness of the Characteristic System (1973) (3)
- Study of ωX (1970) (2)
- Cartier divisors versus invertible sheaves (2000) (2)
- Enumerative Algebraic Geometry (1991) (2)
- Writing a Math Phase Two Paper (1992) (2)
- Review: William Fulton, Intersection theory, and William Fulton, Introduction to intersection theory in algebraic geometry (1985) (2)
- Review: Frances Kirwan, An introduction to intersection homology theory (1990) (1)
- Pythagorean Triples by Geometry (1972) (1)
- A numerical approach to proving projectivity (1966) (1)
- Book Review: Intersection theory (1985) (0)
- 2 2 A ug 1 99 7 Conormal Geometry of Maximal Minors (1997) (0)
- Appendix B: Two papers on mathematical writing (2009) (0)
- Curve Counting \`a la G\"ottsche (2013) (0)
- 6. Conclusions 5. Related Work (1991) (0)
- , Multiplicity , and Dependence (1998) (0)
- Completions, primary decomposition and length (1970) (0)
- On the Quot scheme $\mathrm{Quot}_{\mathcal O_{\mathbb P^1}^r/\mathbb P^1/k}^d$ (2019) (0)
- MIT Open Access Articles The Picard Scheme (2022) (0)
- 2 DUALITY FOR PROJECTIVE VARIETIES by ABRAMO HEFEZ (0)
- A G ] 1 3 M ay 1 99 8 alg-geom / 9805062 In onore di Mario FIORENTINI Equisingularity , Multiplicity , and Dependence (2021) (0)
- Toward Clemens’ conjecture in degrees between 10 (1997) (0)
- Enriques diagrams, infinitely near points, and Hilbert schemes (2009) (0)
- Dedication to Steven L. Kleiman (2003) (0)
- Dedication to Steven L. Kleiman (2003) (0)
- Two formulas for the BR multiplicity Citation Kleiman (2016) (0)
- Curve Counting à la Göttsche Problem Session , 25 Aug 2011 — updated , 13 Sep 2012 (2013) (0)
- Macaulay duality and its geometry (2022) (0)
- Two formulas for the BR multiplicity (2016) (0)
- Depth and dimension (1970) (0)
- A divisorial cycle acquiring an embedded component under a flat specialization (1975) (0)
- 2 9 N ov 2 00 1 Node polynomials for families : results and examples By (2001) (0)
- To the memory of Alexandru ( Bobi ) Lascu (2016) (0)
- BOUNDS ON LEAVES OF ONE-DIMENSIONAL FOLIATIONS 3 in effect (2002) (0)
- EQUISINGULARITY AND INTEGRAL CLOSURE (0)
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